“…The theory of operator ideals is central in modern mathematical analysis (see [15], [28, 6.3]) and, in this context, maximal ideals play a key role. For recent developments on maximal operator ideals, see, e.g, [19,22,24,32]. A number of important operator ideals are defined, or characterized, by the transformation of vector-valued sequences; and some of these ideals are known to be maximal.…”